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Finding the Fourth Proportional to 4,663.41, 6,435.68 and 2,646.72

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Solution

The fourth proportional to 4,663.41, 6,435.68 and 2,646.72 is: 3,652.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.41 : 6,435.68 = 2,646.72 : x
  2. Step 2: Convert to fraction form
    4,663.41/6,435.68 = 2,646.72/x
  3. Step 3: Cross multiply
    4,663.41x = 6,435.68 × 2,646.72
  4. Step 4: Simplify right side
    4,663.41x = 17,033,405.60
  5. Step 5: Solve for x
    x = 17,033,405.60/4,663.41
  6. Step 6: Final answer
    x = 3,652.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.